115040132416 has 168 divisors, whose sum is σ = 259259283360. Its totient is φ = 50570910720.

The previous prime is 115040132357. The next prime is 115040132419. The reversal of 115040132416 is 614231040511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115040132419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51287391 + ... + 51289633.

It is an arithmetic number, because the mean of its divisors is an integer number (1543210020).

Almost surely, 2^115040132416 is an apocalyptic number.

115040132416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115040132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129629641680).

115040132416 is an abundant number, since it is smaller than the sum of its proper divisors (144219150944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115040132416 is a wasteful number, since it uses less digits than its factorization.

115040132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 115040132416 its reverse (614231040511), we get a palindrome (729271172927).

It can be divided in two parts, 115040 and 132416, that added together give a triangular number (247456 = T₇₀₃).

The spelling of 115040132416 in words is "one hundred fifteen billion, forty million, one hundred thirty-two thousand, four hundred sixteen".